Aleksander Cieślak: Cofinalities of tree ideals and the shrinking property II
13/11/23 12:29
Tuesday, November 14, 2023 17:00
Location: room 601, Mathematical Institute, University of Wroclaw
Speaker: Aleksander Cieślak
Title: Cofinalities of tree ideals and the shrinking property II
Abstract: ILast time, given a tree type \(\mathbb{T}\), we investigated a cardinal invariant \(is(\mathbb{T})\) called "Incompatibility Shrinking Number". It was mentioned that the assumption \(is(\mathbb{T})=\mathfrak c \) implies that \( cof(t^0)>\mathfrak c\) and that \(is(\mathbb{T})\) falls in between the additivity and the covering number of the borel part \(t^0_{Bor}\). We will focus on calculating these two for various Borel ideals.
Location: room 601, Mathematical Institute, University of Wroclaw
Speaker: Aleksander Cieślak
Title: Cofinalities of tree ideals and the shrinking property II
Abstract: ILast time, given a tree type \(\mathbb{T}\), we investigated a cardinal invariant \(is(\mathbb{T})\) called "Incompatibility Shrinking Number". It was mentioned that the assumption \(is(\mathbb{T})=\mathfrak c \) implies that \( cof(t^0)>\mathfrak c\) and that \(is(\mathbb{T})\) falls in between the additivity and the covering number of the borel part \(t^0_{Bor}\). We will focus on calculating these two for various Borel ideals.